Differential Geometry
MATH 230A
Subject & Catalog Number
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Course Information
Description
The overarching theme is the Felix Klein dictum that places symmetry groups at the center of geometry. Topics include: affine geometry and symmetry types, smooth manifolds and Lie groups, Frobenius theorem; classical curves and surfaces; fiber bundles, principal bundles, connections, geodesics, curvature, torsion; Riemannian manifolds, Levi-Civita connection, Riemann curvature tensor; Gauss-Bonnet-Chern theorem; more Riemannian geometry.
Recommended Prep
Knowledge of the material in Mathematics 132 and 136.
School
Faculty of Arts & Sciences
Credits
4
Cross Reg
Available for Harvard Cross Registration
Department
Mathematics
Course Component
Lecture
General Education
N/A
Quantitative Reasoning with Data
N/A
Divisional Distribution
Science & Engineering & Applied Science
Course Level
Primarily for Graduate Students
